Search a number
-
+
343136892 = 223731313421
BaseRepresentation
bin10100011100111…
…101101001111100
3212220200011022210
4110130331221330
51200320340032
654014340420
711334421050
oct2434755174
9786604283
10343136892
1116676790a
1296aba710
13561223a7
1433801c60
15201d02cc
hex1473da7c

343136892 has 96 divisors (see below), whose sum is σ = 949817344. Its totient is φ = 94348800.

The previous prime is 343136879. The next prime is 343136897. The reversal of 343136892 is 298631343.

It is a self number, because there is not a number n which added to its sum of digits gives 343136892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343136897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 814842 + ... + 815262.

Almost surely, 2343136892 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343136892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474908672).

343136892 is an abundant number, since it is smaller than the sum of its proper divisors (606680452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

343136892 is a wasteful number, since it uses less digits than its factorization.

343136892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 777 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 343136892 is about 18523.9545453988. The cubic root of 343136892 is about 700.0931114236.

The spelling of 343136892 in words is "three hundred forty-three million, one hundred thirty-six thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 313 372 421 434 626 651 842 868 939 1252 1263 1302 1684 1878 2191 2526 2604 2947 3756 4382 5052 5894 6573 8764 8841 9703 11788 13051 13146 17682 19406 26102 26292 29109 35364 38812 39153 52204 58218 67921 78306 91357 116436 131773 135842 156612 182714 203763 263546 271684 274071 365428 395319 407526 527092 548142 790638 815052 922411 1096284 1581276 1844822 2767233 3689644 4084963 5534466 8169926 11068932 12254889 16339852 24509778 28594741 49019556 57189482 85784223 114378964 171568446 343136892